Evolutionary invasion analysis

Mathematical modeling of phenotypic evolution

Evolutionary invasion analysis, also known as adaptive dynamics, is a set of mathematical modeling techniques that use differential equations to study the long-term evolution of traits in asexually and sexually reproducing populations. It rests on the following three assumptions about mutation and population dynamics:Mutations are infrequent. The population can be assumed to be at equilibrium when a new mutant arises. The number of individuals with the mutant trait is initially negligible in the large, established resident population. Mutant phenotypes are only slightly different from the resident phenotype.

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